Finding the Third Proportional to 47,540 and 99,658

Step by Step Solution

1. Step 1: Write the proportion equation
   47,540 : 99,658 = 99,658 : x
2. Step 2: Convert to fraction form
   47,540/99,658 = 99,658/x
3. Step 3: Cross multiply
   47,540x = 99,658 × 99,658
4. Step 4: Simplify right side
   47,540x = 9,931,716,964
5. Step 5: Solve for x
   x = 9,931,716,964/47,540
6. Step 6: Final answer
   x = 208,912.85